GCD of 320, 895, 310, 841 Calculator

Given Input numbers are 320, 895, 310, 841

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 320, 895, 310, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 895, 310, 841 is 1.

Therefore, GCD of numbers 320, 895, 310, 841 is 1

Given Input Data is 320, 895, 310, 841

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 895 is 5 x 179

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 841 is 29 x 29

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(320, 895) = 57280

GCD(320, 895) = ( 320 x 895 ) / 57280

GCD(320, 895) = 286400 / 57280

GCD(320, 895) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 310

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 310) = 310

GCD(5, 310) = ( 5 x 310 ) / 310

GCD(5, 310) = 1550 / 310

GCD(5, 310) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 841

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 841) = 4205

GCD(5, 841) = ( 5 x 841 ) / 4205

GCD(5, 841) = 4205 / 4205

GCD(5, 841) = 1

GCD of 320, 895, 310, 841 is 1

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1. What is the GCD of 320, 895, 310, 841?

GCD of 320, 895, 310, 841 is 1

2. Where do I get the detailed procedure to find GCD of 320, 895, 310, 841?

You can find a detailed procedure to find GCD of 320, 895, 310, 841 on our page.

3. How to find GCD of 320, 895, 310, 841 on a calculator?

You can find the GCD of 320, 895, 310, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.